Quite possibly a brother or close relative of Otto Forberg (violist of the Heckmann Quartet, and publisher) and (August) Robert Forberg (publisher, 1833–1880), and someone about whom it should not be difficult to obtain biographical information indirectly thereby.
Lived in Dusseldorf, and active as a cellist in the Schumann circle in the 1840s. He was the father of Carl Ernst Forberg (1844-1915), an artist.
Carl Ernst Forberg's son, Kurt Forberg (1900-1979), was a banker and amateur cellist who collected modern art and established the Ernst Forberg Foundation in 1961. An exhibition in Freiburg in 2014 gave a history of the dynasty. (Go to the andere Forbergs section).
Also, may be a descendant, instead, of Friedrich Karl Forberg (1770–1848), noted classical scholar (see Wikipedia-en). (Or perhaps both families are closely related, ought one knows.) The dictionary "Musicians of all Times" has "b ab 1815, d Jun 8, 1882".